Under free vibrations and damped conditions, a SDOF portal frame fixed at its base has a mass of 1,500 kg at roof level.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Under free vibrations and damped conditions, a SDOF portal
frame fixed at its base has a mass of 1,500 kg at roof level.
Lateral stiffness of frame columns 1 and 2 are: k1 = 12,500
N/m, and k2 = 13,500 N/m. Viscous damping coefficient is
435 N s/m. Find:
1.) the natural period of oscillations
2.) cyclic natural frequencies
3.) circular natural frequencies
4.) If the initial displacement and velocity are 20 mm and 23
mm/s, compute frame side sway after 1.5 s.
Transcribed Image Text:Under free vibrations and damped conditions, a SDOF portal frame fixed at its base has a mass of 1,500 kg at roof level. Lateral stiffness of frame columns 1 and 2 are: k1 = 12,500 N/m, and k2 = 13,500 N/m. Viscous damping coefficient is 435 N s/m. Find: 1.) the natural period of oscillations 2.) cyclic natural frequencies 3.) circular natural frequencies 4.) If the initial displacement and velocity are 20 mm and 23 mm/s, compute frame side sway after 1.5 s.
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